Question 1/4
Expert Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54
दो राशियों के लिए (5x+5y=140) और (6x-6y=24) हैं। ग्राफीय विधि से समाधान कौन सा होगा?
For two quantities, (5x+5y=140) and (6x-6y=24). What will be the solution by graphical method?
#graphical method
#simultaneous equations
#intersection
#numerical
A ((16,12))
B ((12,16))
C ((18,10))
D ((14,14))
Explanation opens after your attempt
Correct Answer
A. ((16,12))
Step 1
Concept
Simplifying gives (x+y=28) and (x-y=4). Their intersection is ((16,12)).
Step 2
Why this answer is correct
The correct answer is A. ((16,12)). Simplifying gives (x+y=28) and (x-y=4). Their intersection is ((16,12)).
Step 3
Exam Tip
सरल करने पर (x+y=28) और (x-y=4) मिलते हैं। इनका प्रतिच्छेद ((16,12)) है।
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Question 2/4
Expert Mathematics
Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53
दो संख्याओं के लिए (2x+y=37) और (x+2y=32) हैं। ग्राफीय विधि से समाधान कौन सा होगा?
For two numbers, (2x+y=37) and (x+2y=32). What will be the solution by graphical method?
#graphical method
#simultaneous equations
#intersection
#numerical
A ((14,9))
B ((9,14))
C ((15,7))
D ((13,11))
Explanation opens after your attempt
Correct Answer
A. ((14,9))
Step 1
Concept
Solving both equations gives (x=14) and (y=9). On the graph, the intersection of the two lines will be ((14,9)).
Step 2
Why this answer is correct
The correct answer is A. ((14,9)). Solving both equations gives (x=14) and (y=9). On the graph, the intersection of the two lines will be ((14,9)).
Step 3
Exam Tip
दोनों समीकरणों को हल करने पर (x=14) और (y=9) मिलता है। ग्राफ में दोनों रेखाओं का प्रतिच्छेद ((14,9)) होगा।
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Question 3/4
Hard Mathematics
Polynomials Polynomials in one variable Class 10 Level 47
यदि (p(x)=x-3 +ax-2 +bx+6) में (x=1) और (x=-2) दोनों शून्य हैं, तो (a-b) क्या है?
If (x=1) and (x=-2) are both zeros of (p(x)=x-3 +ax-2 +bx+6), what is (a-b)?
#zeros
#cubic
#simultaneous equations
A (-2)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
The conditions give (a+b=-7) and (4a-2b=2), so (a=-2), (b=-5), and (a-b=3). The correct value is (3).
Step 2
Why this answer is correct
The correct answer is C. (4). The conditions give (a+b=-7) and (4a-2b=2), so (a=-2), (b=-5), and (a-b=3). The correct value is (3).
Step 3
Exam Tip
शर्तों से (a+b=-7) और (4a-2b=2), इसलिए (a=-2), (b=-5) और (a-b=3)। सही गणना से (a-b=3) मिलता है।
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Question 4/4
Hard Mathematics
Polynomials Polynomials in one variable Class 10 Level 47
यदि (p(x)=x-2 +ax+b), (p(1)=0) और (p(2)=0), तो (a+b) क्या है?
If (p(x)=x-2 +ax+b), (p(1)=0), and (p(2)=0), what is (a+b)?
#simultaneous equations
#zeros
#parameter
A (-1)
B (0)
C (1)
D (2)
Explanation opens after your attempt
Step 1
Concept
The conditions give (1+a+b=0) and (4+2a+b=0), so (a=-3), (b=2), and (a+b=-1). The correct option is (-1).
Step 2
Why this answer is correct
The correct answer is C. (1). The conditions give (1+a+b=0) and (4+2a+b=0), so (a=-3), (b=2), and (a+b=-1). The correct option is (-1).
Step 3
Exam Tip
शर्तों से (1+a+b=0) और (4+2a+b=0), इसलिए (a=-3), (b=2) और (a+b=-1)। सही विकल्प (-1) है।
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